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Finding the Fourth Proportional to 65,859.89, 90,885.86 and 35,644.50

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Solution

The fourth proportional to 65,859.89, 90,885.86 and 35,644.50 is: 49,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,859.89 : 90,885.86 = 35,644.50 : x
  2. Step 2: Convert to fraction form
    65,859.89/90,885.86 = 35,644.50/x
  3. Step 3: Cross multiply
    65,859.89x = 90,885.86 × 35,644.50
  4. Step 4: Simplify right side
    65,859.89x = 3,239,581,036.77
  5. Step 5: Solve for x
    x = 3,239,581,036.77/65,859.89
  6. Step 6: Final answer
    x = 49,188.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.